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Finding the Fourth Proportional to 20,556, 30,838.86 and 6,705

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Solution

The fourth proportional to 20,556, 30,838.86 and 6,705 is: 10,059.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,556 : 30,838.86 = 6,705 : x
  2. Step 2: Convert to fraction form
    20,556/30,838.86 = 6,705/x
  3. Step 3: Cross multiply
    20,556x = 30,838.86 × 6,705
  4. Step 4: Simplify right side
    20,556x = 206,774,556.30
  5. Step 5: Solve for x
    x = 206,774,556.30/20,556
  6. Step 6: Final answer
    x = 10,059.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.